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itinerary for 20 days

Me and my husband at looking at traveling to Europe with our parents and 2 kids in May.Can Have about 3 weeks.
Want to cover Paris, some bits of Switzerland, Prague, Vienna and Budapest.
Suggestions of how to go about this.... Would prefer the trains and ideally start from Paris.We have been to Paris before.
Any other itineraries to fit in those days and cover some bits in a relaxed way.

If it were me, I would book an open jaw into Paris, back from Prague, skip Budapest as hanabi suggests, and take the train from place to place (training through the Alps Swiss/Austria is nice). I think it is really doable, and the longer train trips will be a pleasurable bit of relaxation between pounding the pavement in major cities. Just get a large sheet of paper, make long rows of sets of 20 boxes, and fill in different combinations of potential hotel night sequences across each set of 20 boxes (also put in the train travel days to plot out the time you will spend in transit and lose for sightseeing).